/// <summary>
/// Inits random en passant keys.
/// </summary>
/// <param name="random">The generator of the 64-bit integers.</param>
public static void InitEnPassant(Random64 random)
{
EnPassant = new ulong[8];
for (var i = 0; i < 8; i++)
{
EnPassant[i] = random.Next();
}
}
/// <summary>
/// Inits random castling keys.
/// </summary>
/// <param name="random">The generator of the 64-bit integers.</param>
public static void InitCastling(Random64 random)
{
Castling = new ulong[4];
for (var i = 0; i < 4; i++)
{
Castling[i] = random.Next();
}
}
/// <summary>
/// Inits random piece keys.
/// </summary>
/// <param name="random">The generator of the 64-bit integers.</param>
public static void InitPieces(Random64 random)
{
Pieces = new ulong[64 * 12];
for (var i = 0; i < Pieces.Length; i++)
{
Pieces[i] = random.Next();
}
}
/// <summary>
/// Initializes a new instance of the <see cref="Bitboard"/> class.
/// </summary>
/// <param name="friendlyBoard">The friendly board.</param>
public Bitboard(FriendlyBoard friendlyBoard) : this()
{
Pieces = friendlyBoard.GetPiecesArray();
CastlingPossibility = friendlyBoard.GetCastlingPossibilityArray();
CastlingDone = friendlyBoard.GetCastlingDoneArray();
EnPassant = friendlyBoard.GetEnPassantArray();
Occupancy = CalculateOccupancy();
Calculate(GeneratorMode.CalculateAttacks, false);
IncEvaluation = new IncrementalEvaluationData(GetDetailedEvaluation());
ClearCalculatedData();
Hash = GetNewHash();
CalculateGamePhase();
var random64 = new Random64();
for (var i = 0; i < History.Length; i++)
{
History[i] = random64.Next();
}
}
/// <summary>
/// Generates a random magic key.
/// </summary>
/// <remarks>
/// Experiments has shown that the best magic keys have a small number of set bits. The simplest method
/// is "and" operation on three 64-bit random numbers.
/// </remarks>
/// <returns>The random magic key.</returns>
private ulong GenerateRandomKey()
{
return(_random64.Next() & _random64.Next() & _random64.Next());
}
public static void Main(string[] args)
{
Console.OutputEncoding = System.Text.Encoding.UTF8;
Console.Clear();
// Använder UInt64, ulong.
List <ulong> t1 = new List <ulong>();
// Ineffektivt men för tydlighetens skull
List <ulong> Pi_L = new List <ulong>()
// 10000 decimaler av pi
{
3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2, 8, 8, 4, 1, 9, 7, 1, 6, 9, 3, 9, 9, 3, 7, 5, 1, 0, 5, 8, 2, 0, 9, 7, 4, 9, 4, 4, 5, 9, 2, 3, 0, 7, 8, 1, 6, 4, 0, 6, 2, 8, 6, 2, 0, 8, 9, 9, 8, 6, 2, 8, 0, 3, 4, 8, 2, 5, 3, 4, 2, 1, 1, 7, 0, 6, 7, 9, 8, 2, 1, 4, 8, 0, 8, 6, 5, 1, 3, 2, 8, 2, 3, 0, 6, 6, 4, 7, 0, 9, 3, 8, 4, 4, 6, 0, 9, 5, 5, 0, 5, 8, 2, 2, 3, 1, 7, 2, 5, 3, 5, 9, 4, 0, 8, 1, 2, 8, 4, 8, 1, 1, 1, 7, 4, 5, 0, 2, 8, 4, 1, 0, 2, 7, 0, 1, 9, 3, 8, 5, 2, 1, 1, 0, 5, 5, 5, 9, 6, 4, 4, 6, 2, 2, 9, 4, 8, 9, 5, 4, 9, 3, 0, 3, 8, 1, 9, 6, 4, 4, 2, 8, 8, 1, 0, 9, 7, 5, 6, 6, 5, 9, 3, 3, 4, 4, 6, 1, 2, 8, 4, 7, 5, 6, 4, 8, 2, 3, 3, 7, 8, 6, 7, 8, 3, 1, 6, 5, 2, 7, 1, 2, 0, 1, 9, 0, 9, 1, 4, 5, 6, 4, 8, 5, 6, 6, 9, 2, 3, 4, 6, 0, 3, 4, 8, 6, 1, 0, 4, 5, 4, 3, 2, 6, 6, 4, 8, 2, 1, 3, 3, 9, 3, 6, 0, 7, 2, 6, 0, 2, 4, 9, 1, 4, 1, 2, 7, 3, 7, 2, 4, 5, 8, 7, 0, 0, 6, 6, 0, 6, 3, 1, 5, 5, 8, 8, 1, 7, 4, 8, 8, 1, 5, 2, 0, 9, 2, 0, 9, 6, 2, 8, 2, 9, 2, 5, 4, 0, 9, 1, 7, 1, 5, 3, 6, 4, 3, 6, 7, 8, 9, 2, 5, 9, 0, 3, 6, 0, 0, 1, 1, 3, 3, 0, 5, 3, 0, 5, 4, 8, 8, 2, 0, 4, 6, 6, 5, 2, 1, 3, 8, 4, 1, 4, 6, 9, 5, 1, 9, 4, 1, 5, 1, 1, 6, 0, 9, 4, 3, 3, 0, 5, 7, 2, 7, 0, 3, 6, 5, 7, 5, 9, 5, 9, 1, 9, 5, 3, 0, 9, 2, 1, 8, 6, 1, 1, 7, 3, 8, 1, 9, 3, 2, 6, 1, 1, 7, 9, 3, 1, 0, 5, 1, 1, 8, 5, 4, 8, 0, 7, 4, 4, 6, 2, 3, 7, 9, 9, 6, 2, 7, 4, 9, 5, 6, 7, 3, 5, 1, 8, 8, 5, 7, 5, 2, 7, 2, 4, 8, 9, 1, 2, 2, 7, 9, 3, 8, 1, 8, 3, 0, 1, 1, 9, 4, 9, 1, 2, 9, 8, 3, 3, 6, 7, 3, 3, 6, 2, 4, 4, 0, 6, 5, 6, 6, 4, 3, 0, 8, 6, 0, 2, 1, 3, 9, 4, 9, 4, 6, 3, 9, 5, 2, 2, 4, 7, 3, 7, 1, 9, 0, 7, 0, 2, 1, 7, 9, 8, 6, 0, 9, 4, 3, 7, 0, 2, 7, 7, 0, 5, 3, 9, 2, 1, 7, 1, 7, 6, 2, 9, 3, 1, 7, 6, 7, 5, 2, 3, 8, 4, 6, 7, 4, 8, 1, 8, 4, 6, 7, 6, 6, 9, 4, 0, 5, 1, 3, 2, 0, 0, 0, 5, 6, 8, 1, 2, 7, 1, 4, 5, 2, 6, 3, 5, 6, 0, 8, 2, 7, 7, 8, 5, 7, 7, 1, 3, 4, 2, 7, 5, 7, 7, 8, 9, 6, 0, 9, 1, 7, 3, 6, 3, 7, 1, 7, 8, 7, 2, 1, 4, 6, 8, 4, 4, 0, 9, 0, 1, 2, 2, 4, 9, 5, 3, 4, 3, 0, 1, 4, 6, 5, 4, 9, 5, 8, 5, 3, 7, 1, 0, 5, 0, 7, 9, 2, 2, 7, 9, 6, 8, 9, 2, 5, 8, 9, 2, 3, 5, 4, 2, 0, 1, 9, 9, 5, 6, 1, 1, 2, 1, 2, 9, 0, 2, 1, 9, 6, 0, 8, 6, 4, 0, 3, 4, 4, 1, 8, 1, 5, 9, 8, 1, 3, 6, 2, 9, 7, 7, 4, 7, 7, 1, 3, 0, 9, 9, 6, 0, 5, 1, 8, 7, 0, 7, 2, 1, 1, 3, 4, 9, 9, 9, 9, 9, 9, 8, 3, 7, 2, 9, 7, 8, 0, 4, 9, 9, 5, 1, 0, 5, 9, 7, 3, 1, 7, 3, 2, 8, 1, 6, 0, 9, 6, 3, 1, 8, 5, 9, 5, 0, 2, 4, 4, 5, 9, 4, 5, 5, 3, 4, 6, 9, 0, 8, 3, 0, 2, 6, 4, 2, 5, 2, 2, 3, 0, 8, 2, 5, 3, 3, 4, 4, 6, 8, 5, 0, 3, 5, 2, 6, 1, 9, 3, 1, 1, 8, 8, 1, 7, 1, 0, 1, 0, 0, 0, 3, 1, 3, 7, 8, 3, 8, 7, 5, 2, 8, 8, 6, 5, 8, 7, 5, 3, 3, 2, 0, 8, 3, 8, 1, 4, 2, 0, 6, 1, 7, 1, 7, 7, 6, 6, 9, 1, 4, 7, 3, 0, 3, 5, 9, 8, 2, 5, 3, 4, 9, 0, 4, 2, 8, 7, 5, 5, 4, 6, 8, 7, 3, 1, 1, 5, 9, 5, 6, 2, 8, 6, 3, 8, 8, 2, 3, 5, 3, 7, 8, 7, 5, 9, 3, 7, 5, 1, 9, 5, 7, 7, 8, 1, 8, 5, 7, 7, 8, 0, 5, 3, 2, 1, 7, 1, 2, 2, 6, 8, 0, 6, 6, 1, 3, 0, 0, 1, 9, 2, 7, 8, 7, 6, 6, 1, 1, 1, 9, 5, 9, 0, 9, 2, 1, 6, 4, 2, 0, 1, 9, 8, 9, 3, 8, 0, 9, 5, 2, 5, 7, 2, 0, 1, 0, 6, 5, 4, 8, 5, 8, 6, 3, 2, 7, 8, 8, 6, 5, 9, 3, 6, 1, 5, 3, 3, 8, 1, 8, 2, 7, 9, 6, 8, 2, 3, 0, 3, 0, 1, 9, 5, 2, 0, 3, 5, 3, 0, 1, 8, 5, 2, 9, 6, 8, 9, 9, 5, 7, 7, 3, 6, 2, 2, 5, 9, 9, 4, 1, 3, 8, 9, 1, 2, 4, 9, 7, 2, 1, 7, 7, 5, 2, 8, 3, 4, 7, 9, 1, 3, 1, 5, 1, 5, 5, 7, 4, 8, 5, 7, 2, 4, 2, 4, 5, 4, 1, 5, 0, 6, 9, 5, 9, 5, 0, 8, 2, 9, 5, 3, 3, 1, 1, 6, 8, 6, 1, 7, 2, 7, 8, 5, 5, 8, 8, 9, 0, 7, 5, 0, 9, 8, 3, 8, 1, 7, 5, 4, 6, 3, 7, 4, 6, 4, 9, 3, 9, 3, 1, 9, 2, 5, 5, 0, 6, 0, 4, 0, 0, 9, 2, 7, 7, 0, 1, 6, 7, 1, 1, 3, 9, 0, 0, 9, 8, 4, 8, 8, 2, 4, 0, 1, 2, 8, 5, 8, 3, 6, 1, 6, 0, 3, 5, 6, 3, 7, 0, 7, 6, 6, 0, 1, 0, 4, 7, 1, 0, 1, 8, 1, 9, 4, 2, 9, 5, 5, 5, 9, 6, 1, 9, 8, 9, 4, 6, 7, 6, 7, 8, 3, 7, 4, 4, 9, 4, 4, 8, 2, 5, 5, 3, 7, 9, 7, 7, 4, 7, 2, 6, 8, 4, 7, 1, 0, 4, 0, 4, 7, 5, 3, 4, 6, 4, 6, 2, 0, 8, 0, 4, 6, 6, 8, 4, 2, 5, 9, 0, 6, 9, 4, 9, 1, 2, 9, 3, 3, 1, 3, 6, 7, 7, 0, 2, 8, 9, 8, 9, 1, 5, 2, 1, 0, 4, 7, 5, 2, 1, 6, 2, 0, 5, 6, 9, 6, 6, 0, 2, 4, 0, 5, 8, 0, 3, 8, 1, 5, 0, 1, 9, 3, 5, 1, 1, 2, 5, 3, 3, 8, 2, 4, 3, 0, 0, 3, 5, 5, 8, 7, 6, 4, 0, 2, 4, 7, 4, 9, 6, 4, 7, 3, 2, 6, 3, 9, 1, 4, 1, 9, 9, 2, 7, 2, 6, 0, 4, 2, 6, 9, 9, 2, 2, 7, 9, 6, 7, 8, 2, 3, 5, 4, 7, 8, 1, 6, 3, 6, 0, 0, 9, 3, 4, 1, 7, 2, 1, 6, 4, 1, 2, 1, 9, 9, 2, 4, 5, 8, 6, 3, 1, 5, 0, 3, 0, 2, 8, 6, 1, 8, 2, 9, 7, 4, 5, 5, 5, 7, 0, 6, 7, 4, 9, 8, 3, 8, 5, 0, 5, 4, 9, 4, 5, 8, 8, 5, 8, 6, 9, 2, 6, 9, 9, 5, 6, 9, 0, 9, 2, 7, 2, 1, 0, 7, 9, 7, 5, 0, 9, 3, 0, 2, 9, 5, 5, 3, 2, 1, 1, 6, 5, 3, 4, 4, 9, 8, 7, 2, 0, 2, 7, 5, 5, 9, 6, 0, 2, 3, 6, 4, 8, 0, 6, 6, 5, 4, 9, 9, 1, 1, 9, 8, 8, 1, 8, 3, 4, 7, 9, 7, 7, 5, 3, 5, 6, 6, 3, 6, 9, 8, 0, 7, 4, 2, 6, 5, 4, 2, 5, 2, 7, 8, 6, 2, 5, 5, 1, 8, 1, 8, 4, 1, 7, 5, 7, 4, 6, 7, 2, 8, 9, 0, 9, 7, 7, 7, 7, 2, 7, 9, 3, 8, 0, 0, 0, 8, 1, 6, 4, 7, 0, 6, 0, 0, 1, 6, 1, 4, 5, 2, 4, 9, 1, 9, 2, 1, 7, 3, 2, 1, 7, 2, 1, 4, 7, 7, 2, 3, 5, 0, 1, 4, 1, 4, 4, 1, 9, 7, 3, 5, 6, 8, 5, 4, 8, 1, 6, 1, 3, 6, 1, 1, 5, 7, 3, 5, 2, 5, 5, 2, 1, 3, 3, 4, 7, 5, 7, 4, 1, 8, 4, 9, 4, 6, 8, 4, 3, 8, 5, 2, 3, 3, 2, 3, 9, 0, 7, 3, 9, 4, 1, 4, 3, 3, 3, 4, 5, 4, 7, 7, 6, 2, 4, 1, 6, 8, 6, 2, 5, 1, 8, 9, 8, 3, 5, 6, 9, 4, 8, 5, 5, 6, 2, 0, 9, 9, 2, 1, 9, 2, 2, 2, 1, 8, 4, 2, 7, 2, 5, 5, 0, 2, 5, 4, 2, 5, 6, 8, 8, 7, 6, 7, 1, 7, 9, 0, 4, 9, 4, 6, 0, 1, 6, 5, 3, 4, 6, 6, 8, 0, 4, 9, 8, 8, 6, 2, 7, 2, 3, 2, 7, 9, 1, 7, 8, 6, 0, 8, 5, 7, 8, 4, 3, 8, 3, 8, 2, 7, 9, 6, 7, 9, 7, 6, 6, 8, 1, 4, 5, 4, 1, 0, 0, 9, 5, 3, 8, 8, 3, 7, 8, 6, 3, 6, 0, 9, 5, 0, 6, 8, 0, 0, 6, 4, 2, 2, 5, 1, 2, 5, 2, 0, 5, 1, 1, 7, 3, 9, 2, 9, 8, 4, 8, 9, 6, 0, 8, 4, 1, 2, 8, 4, 8, 8, 6, 2, 6, 9, 4, 5, 6, 0, 4, 2, 4, 1, 9, 6, 5, 2, 8, 5, 0, 2, 2, 2, 1, 0, 6, 6, 1, 1, 8, 6, 3, 0, 6, 7, 4, 4, 2, 7, 8, 6, 2, 2, 0, 3, 9, 1, 9, 4, 9, 4, 5, 0, 4, 7, 1, 2, 3, 7, 1, 3, 7, 8, 6, 9, 6, 0, 9, 5, 6, 3, 6, 4, 3, 7, 1, 9, 1, 7, 2, 8, 7, 4, 6, 7, 7, 6, 4, 6, 5, 7, 5, 7, 3, 9, 6, 2, 4, 1, 3, 8, 9, 0, 8, 6, 5, 8, 3, 2, 6, 4, 5, 9, 9, 5, 8, 1, 3, 3, 9, 0, 4, 7, 8, 0, 2, 7, 5, 9, 0, 0, 9, 9, 4, 6, 5, 7, 6, 4, 0, 7, 8, 9, 5, 1, 2, 6, 9, 4, 6, 8, 3, 9, 8, 3, 5, 2, 5, 9, 5, 7, 0, 9, 8, 2, 5, 8, 2, 2, 6, 2, 0, 5, 2, 2, 4, 8, 9, 4, 0, 7, 7, 2, 6, 7, 1, 9, 4, 7, 8, 2, 6, 8, 4, 8, 2, 6, 0, 1, 4, 7, 6, 9, 9, 0, 9, 0, 2, 6, 4, 0, 1, 3, 6, 3, 9, 4, 4, 3, 7, 4, 5, 5, 3, 0, 5, 0, 6, 8, 2, 0, 3, 4, 9, 6, 2, 5, 2, 4, 5, 1, 7, 4, 9, 3, 9, 9, 6, 5, 1, 4, 3, 1, 4, 2, 9, 8, 0, 9, 1, 9, 0, 6, 5, 9, 2, 5, 0, 9, 3, 7, 2, 2, 1, 6, 9, 6, 4, 6, 1, 5, 1, 5, 7, 0, 9, 8, 5, 8, 3, 8, 7, 4, 1, 0, 5, 9, 7, 8, 8, 5, 9, 5, 9, 7, 7, 2, 9, 7, 5, 4, 9, 8, 9, 3, 0, 1, 6, 1, 7, 5, 3, 9, 2, 8, 4, 6, 8, 1, 3, 8, 2, 6, 8, 6, 8, 3, 8, 6, 8, 9, 4, 2, 7, 7, 4, 1, 5, 5, 9, 9, 1, 8, 5, 5, 9, 2, 5, 2, 4, 5, 9, 5, 3, 9, 5, 9, 4, 3, 1, 0, 4, 9, 9, 7, 2, 5, 2, 4, 6, 8, 0, 8, 4, 5, 9, 8, 7, 2, 7, 3, 6, 4, 4, 6, 9, 5, 8, 4, 8, 6, 5, 3, 8, 3, 6, 7, 3, 6, 2, 2, 2, 6, 2, 6, 0, 9, 9, 1, 2, 4, 6, 0, 8, 0, 5, 1, 2, 4, 3, 8, 8, 4, 3, 9, 0, 4, 5, 1, 2, 4, 4, 1, 3, 6, 5, 4, 9, 7, 6, 2, 7, 8, 0, 7, 9, 7, 7, 1, 5, 6, 9, 1, 4, 3, 5, 9, 9, 7, 7, 0, 0, 1, 2, 9, 6, 1, 6, 0, 8, 9, 4, 4, 1, 6, 9, 4, 8, 6, 8, 5, 5, 5, 8, 4, 8, 4, 0, 6, 3, 5, 3, 4, 2, 2, 0, 7, 2, 2, 2, 5, 8, 2, 8, 4, 8, 8, 6, 4, 8, 1, 5, 8, 4, 5, 6, 0, 2, 8, 5, 0, 6, 0, 1, 6, 8, 4, 2, 7, 3, 9, 4, 5, 2, 2, 6, 7, 4, 6, 7, 6, 7, 8, 8, 9, 5, 2, 5, 2, 1, 3, 8, 5, 2, 2, 5, 4, 9, 9, 5, 4, 6, 6, 6, 7, 2, 7, 8, 2, 3, 9, 8, 6, 4, 5, 6, 5, 9, 6, 1, 1, 6, 3, 5, 4, 8, 8, 6, 2, 3, 0, 5, 7, 7, 4, 5, 6, 4, 9, 8, 0, 3, 5, 5, 9, 3, 6, 3, 4, 5, 6, 8, 1, 7, 4, 3, 2, 4, 1, 1, 2, 5, 1, 5, 0, 7, 6, 0, 6, 9, 4, 7, 9, 4, 5, 1, 0, 9, 6, 5, 9, 6, 0, 9, 4, 0, 2, 5, 2, 2, 8, 8, 7, 9, 7, 1, 0, 8, 9, 3, 1, 4, 5, 6, 6, 9, 1, 3, 6, 8, 6, 7, 2, 2, 8, 7, 4, 8, 9, 4, 0, 5, 6, 0, 1, 0, 1, 5, 0, 3, 3, 0, 8, 6, 1, 7, 9, 2, 8, 6, 8, 0, 9, 2, 0, 8, 7, 4, 7, 6, 0, 9, 1, 7, 8, 2, 4, 9, 3, 8, 5, 8, 9, 0, 0, 9, 7, 1, 4, 9, 0, 9, 6, 7, 5, 9, 8, 5, 2, 6, 1, 3, 6, 5, 5, 4, 9, 7, 8, 1, 8, 9, 3, 1, 2, 9, 7, 8, 4, 8, 2, 1, 6, 8, 2, 9, 9, 8, 9, 4, 8, 7, 2, 2, 6, 5, 8, 8, 0, 4, 8, 5, 7, 5, 6, 4, 0, 1, 4, 2, 7, 0, 4, 7, 7, 5, 5, 5, 1, 3, 2, 3, 7, 9, 6, 4, 1, 4, 5, 1, 5, 2, 3, 7, 4, 6, 2, 3, 4, 3, 6, 4, 5, 4, 2, 8, 5, 8, 4, 4, 4, 7, 9, 5, 2, 6, 5, 8, 6, 7, 8, 2, 1, 0, 5, 1, 1, 4, 1, 3, 5, 4, 7, 3, 5, 7, 3, 9, 5, 2, 3, 1, 1, 3, 4, 2, 7, 1, 6, 6, 1, 0, 2, 1, 3, 5, 9, 6, 9, 5, 3, 6, 2, 3, 1, 4, 4, 2, 9, 5, 2, 4, 8, 4, 9, 3, 7, 1, 8, 7, 1, 1, 0, 1, 4, 5, 7, 6, 5, 4, 0, 3, 5, 9, 0, 2, 7, 9, 9, 3, 4, 4, 0, 3, 7, 4, 2, 0, 0, 7, 3, 1, 0, 5, 7, 8, 5, 3, 9, 0, 6, 2, 1, 9, 8, 3, 8, 7, 4, 4, 7, 8, 0, 8, 4, 7, 8, 4, 8, 9, 6, 8, 3, 3, 2, 1, 4, 4, 5, 7, 1, 3, 8, 6, 8, 7, 5, 1, 9, 4, 3, 5, 0, 6, 4, 3, 0, 2, 1, 8, 4, 5, 3, 1, 9, 1, 0, 4, 8, 4, 8, 1, 0, 0, 5, 3, 7, 0, 6, 1, 4, 6, 8, 0, 6, 7, 4, 9, 1, 9, 2, 7, 8, 1, 9, 1, 1, 9, 7, 9, 3, 9, 9, 5, 2, 0, 6, 1, 4, 1, 9, 6, 6, 3, 4, 2, 8, 7, 5, 4, 4, 4, 0, 6, 4, 3, 7, 4, 5, 1, 2, 3, 7, 1, 8, 1, 9, 2, 1, 7, 9, 9, 9, 8, 3, 9, 1, 0, 1, 5, 9, 1, 9, 5, 6, 1, 8, 1, 4, 6, 7, 5, 1, 4, 2, 6, 9, 1, 2, 3, 9, 7, 4, 8, 9, 4, 0, 9, 0, 7, 1, 8, 6, 4, 9, 4, 2, 3, 1, 9, 6, 1, 5, 6, 7, 9, 4, 5, 2, 0, 8, 0, 9, 5, 1, 4, 6, 5, 5, 0, 2, 2, 5, 2, 3, 1, 6, 0, 3, 8, 8, 1, 9, 3, 0, 1, 4, 2, 0, 9, 3, 7, 6, 2, 1, 3, 7, 8, 5, 5, 9, 5, 6, 6, 3, 8, 9, 3, 7, 7, 8, 7, 0, 8, 3, 0, 3, 9, 0, 6, 9, 7, 9, 2, 0, 7, 7, 3, 4, 6, 7, 2, 2, 1, 8, 2, 5, 6, 2, 5, 9, 9, 6, 6, 1, 5, 0, 1, 4, 2, 1, 5, 0, 3, 0, 6, 8, 0, 3, 8, 4, 4, 7, 7, 3, 4, 5, 4, 9, 2, 0, 2, 6, 0, 5, 4, 1, 4, 6, 6, 5, 9, 2, 5, 2, 0, 1, 4, 9, 7, 4, 4, 2, 8, 5, 0, 7, 3, 2, 5, 1, 8, 6, 6, 6, 0, 0, 2, 1, 3, 2, 4, 3, 4, 0, 8, 8, 1, 9, 0, 7, 1, 0, 4, 8, 6, 3, 3, 1, 7, 3, 4, 6, 4, 9, 6, 5, 1, 4, 5, 3, 9, 0, 5, 7, 9, 6, 2, 6, 8, 5, 6, 1, 0, 0, 5, 5, 0, 8, 1, 0, 6, 6, 5, 8, 7, 9, 6, 9, 9, 8, 1, 6, 3, 5, 7, 4, 7, 3, 6, 3, 8, 4, 0, 5, 2, 5, 7, 1, 4, 5, 9, 1, 0, 2, 8, 9, 7, 0, 6, 4, 1, 4, 0, 1, 1, 0, 9, 7, 1, 2, 0, 6, 2, 8, 0, 4, 3, 9, 0, 3, 9, 7, 5, 9, 5, 1, 5, 6, 7, 7, 1, 5, 7, 7, 0, 0, 4, 2, 0, 3, 3, 7, 8, 6, 9, 9, 3, 6, 0, 0, 7, 2, 3, 0, 5, 5, 8, 7, 6, 3, 1, 7, 6, 3, 5, 9, 4, 2, 1, 8, 7, 3, 1, 2, 5, 1, 4, 7, 1, 2, 0, 5, 3, 2, 9, 2, 8, 1, 9, 1, 8, 2, 6, 1, 8, 6, 1, 2, 5, 8, 6, 7, 3, 2, 1, 5, 7, 9, 1, 9, 8, 4, 1, 4, 8, 4, 8, 8, 2, 9, 1, 6, 4, 4, 7, 0, 6, 0, 9, 5, 7, 5, 2, 7, 0, 6, 9, 5, 7, 2, 2, 0, 9, 1, 7, 5, 6, 7, 1, 1, 6, 7, 2, 2, 9, 1, 0, 9, 8, 1, 6, 9, 0, 9, 1, 5, 2, 8, 0, 1, 7, 3, 5, 0, 6, 7, 1, 2, 7, 4, 8, 5, 8, 3, 2, 2, 2, 8, 7, 1, 8, 3, 5, 2, 0, 9, 3, 5, 3, 9, 6, 5, 7, 2, 5, 1, 2, 1, 0, 8, 3, 5, 7, 9, 1, 5, 1, 3, 6, 9, 8, 8, 2, 0, 9, 1, 4, 4, 4, 2, 1, 0, 0, 6, 7, 5, 1, 0, 3, 3, 4, 6, 7, 1, 1, 0, 3, 1, 4, 1, 2, 6, 7, 1, 1, 1, 3, 6, 9, 9, 0, 8, 6, 5, 8, 5, 1, 6, 3, 9, 8, 3, 1, 5, 0, 1, 9, 7, 0, 1, 6, 5, 1, 5, 1, 1, 6, 8, 5, 1, 7, 1, 4, 3, 7, 6, 5, 7, 6, 1, 8, 3, 5, 1, 5, 5, 6, 5, 0, 8, 8, 4, 9, 0, 9, 9, 8, 9, 8, 5, 9, 9, 8, 2, 3, 8, 7, 3, 4, 5, 5, 2, 8, 3, 3, 1, 6, 3, 5, 5, 0, 7, 6, 4, 7, 9, 1, 8, 5, 3, 5, 8, 9, 3, 2, 2, 6, 1, 8, 5, 4, 8, 9, 6, 3, 2, 1, 3, 2, 9, 3, 3, 0, 8, 9, 8, 5, 7, 0, 6, 4, 2, 0, 4, 6, 7, 5, 2, 5, 9, 0, 7, 0, 9, 1, 5, 4, 8, 1, 4, 1, 6, 5, 4, 9, 8, 5, 9, 4, 6, 1, 6, 3, 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4, 4, 4, 8, 4, 6, 4, 0, 9, 0, 3, 8, 9, 0, 6, 4, 4, 9, 5, 4, 4, 4, 0, 0, 6, 1, 9, 8, 6, 9, 0, 7, 5, 4, 8, 5, 1, 6, 0, 2, 6, 3, 2, 7, 5, 0, 5, 2, 9, 8, 3, 4, 9, 1, 8, 7, 4, 0, 7, 8, 6, 6, 8, 0, 8, 8, 1, 8, 3, 3, 8, 5, 1, 0, 2, 2, 8, 3, 3, 4, 5, 0, 8, 5, 0, 4, 8, 6, 0, 8, 2, 5, 0, 3, 9, 3, 0, 2, 1, 3, 3, 2, 1, 9, 7, 1, 5, 5, 1, 8, 4, 3, 0, 6, 3, 5, 4, 5, 5, 0, 0, 7, 6, 6, 8, 2, 8, 2, 9, 4, 9, 3, 0, 4, 1, 3, 7, 7, 6, 5, 5, 2, 7, 9, 3, 9, 7, 5, 1, 7, 5, 4, 6, 1, 3, 9, 5, 3, 9, 8, 4, 6, 8, 3, 3, 9, 3, 6, 3, 8, 3, 0, 4, 7, 4, 6, 1, 1, 9, 9, 6, 6, 5, 3, 8, 5, 8, 1, 5, 3, 8, 4, 2, 0, 5, 6, 8, 5, 3, 3, 8, 6, 2, 1, 8, 6, 7, 2, 5, 2, 3, 3, 4, 0, 2, 8, 3, 0, 8, 7, 1, 1, 2, 3, 2, 8, 2, 7, 8, 9, 2, 1, 2, 5, 0, 7, 7, 1, 2, 6, 2, 9, 4, 6, 3, 2, 2, 9, 5, 6, 3, 9, 8, 9, 8, 9, 8, 9, 3, 5, 8, 2, 1, 1, 6, 7, 4, 5, 6, 2, 7, 0, 1, 0, 2, 1, 8, 3, 5, 6, 4, 6, 2, 2, 0, 1, 3, 4, 9, 6, 7, 1, 5, 1, 8, 8, 1, 9, 0, 9, 7, 3, 0, 3, 8, 1, 1, 9, 8, 0, 0, 4, 9, 7, 3, 4, 0, 7, 2, 3, 9, 6, 1, 0, 3, 6, 8, 5, 4, 0, 6, 6, 4, 3, 1, 9, 3, 9, 5, 0, 9, 7, 9, 0, 1, 9, 0, 6, 9, 9, 6, 3, 9, 5, 5, 2, 4, 5, 3, 0, 0, 5, 4, 5, 0, 5, 8, 0, 6, 8, 5, 5, 0, 1, 9, 5, 6, 7, 3, 0, 2, 2, 9, 2, 1, 9, 1, 3, 9, 3, 3, 9, 1, 8, 5, 6, 8, 0, 3, 4, 4, 9, 0, 3, 9, 8, 2, 0, 5, 9, 5, 5, 1, 0, 0, 2, 2, 6, 3, 5, 3, 5, 3, 6, 1, 9, 2, 0, 4, 1, 9, 9, 4, 7, 4, 5, 5, 3, 8, 5, 9, 3, 8, 1, 0, 2, 3, 4, 3, 9, 5, 5, 4, 4, 9, 5, 9, 7, 7, 8, 3, 7, 7, 9, 0, 2, 3, 7, 4, 2, 1, 6, 1, 7, 2, 7, 1, 1, 1, 7, 2, 3, 6, 4, 3, 4, 3, 5, 4, 3, 9, 4, 7, 8, 2, 2, 1, 8, 1, 8, 5, 2, 8, 6, 2, 4, 0, 8, 5, 1, 4, 0, 0, 6, 6, 6, 0, 4, 4, 3, 3, 2, 5, 8, 8, 8, 5, 6, 9, 8, 6, 7, 0, 5, 4, 3, 1, 5, 4, 7, 0, 6, 9, 6, 5, 7, 4, 7, 4, 5, 8, 5, 5, 0, 3, 3, 2, 3, 2, 3, 3, 4, 2, 1, 0, 7, 3, 0, 1, 5, 4, 5, 9, 4, 0, 5, 1, 6, 5, 5, 3, 7, 9, 0, 6, 8, 6, 6, 2, 7, 3, 3, 3, 7, 9, 9, 5, 8, 5, 1, 1, 5, 6, 2, 5, 7, 8, 4, 3, 2, 2, 9, 8, 8, 2, 7, 3, 7, 2, 3, 1, 9, 8, 9, 8, 7, 5, 7, 1, 4, 1, 5, 9, 5, 7, 8, 1, 1, 1, 9, 6, 3, 5, 8, 3, 3, 0, 0, 5, 9, 4, 0, 8, 7, 3, 0, 6, 8, 1, 2, 1, 6, 0, 2, 8, 7, 6, 4, 9, 6, 2, 8, 6, 7, 4, 4, 6, 0, 4, 7, 7, 4, 6, 4, 9, 1, 5, 9, 9, 5, 0, 5, 4, 9, 7, 3, 7, 4, 2, 5, 6, 2, 6, 9, 0, 1, 0, 4, 9, 0, 3, 7, 7, 8, 1, 9, 8, 6, 8, 3, 5, 9, 3, 8, 1, 4, 6, 5, 7, 4, 1, 2, 6, 8, 0, 4, 9, 2, 5, 6, 4, 8, 7, 9, 8, 5, 5, 6, 1, 4, 5, 3, 7, 2, 3, 4, 7, 8, 6, 7, 3, 3, 0, 3, 9, 0, 4, 6, 8, 8, 3, 8, 3, 4, 3, 6, 3, 4, 6, 5, 5, 3, 7, 9, 4, 9, 8, 6, 4, 1, 9, 2, 7, 0, 5, 6, 3, 8, 7, 2, 9, 3, 1, 7, 4, 8, 7, 2, 3, 3, 2, 0, 8, 3, 7, 6, 0, 1, 1, 2, 3, 0, 2, 9, 9, 1, 1, 3, 6, 7, 9, 3, 8, 6, 2, 7, 0, 8, 9, 4, 3, 8, 7, 9, 9, 3, 6, 2, 0, 1, 6, 2, 9, 5, 1, 5, 4, 1, 3, 3, 7, 1, 4, 2, 4, 8, 9, 2, 8, 3, 0, 7, 2, 2, 0, 1, 2, 6, 9, 0, 1, 4, 7, 5, 4, 6, 6, 8, 4, 7, 6, 5, 3, 5, 7, 6, 1, 6, 4, 7, 7, 3, 7, 9, 4, 6, 7, 5, 2, 0, 0, 4, 9, 0, 7, 5, 7, 1, 5, 5, 5, 2, 7, 8, 1, 9, 6, 5, 3, 6, 2, 1, 3, 2, 3, 9, 2, 6, 4, 0, 6, 1, 6, 0, 1, 3, 6, 3, 5, 8, 1, 5, 5, 9, 0, 7, 4, 2, 2, 0, 2, 0, 2, 0, 3, 1, 8, 7, 2, 7, 7, 6, 0, 5, 2, 7, 7, 2, 1, 9, 0, 0, 5, 5, 6, 1, 4, 8, 4, 2, 5, 5, 5, 1, 8, 7, 9, 2, 5, 3, 0, 3, 4, 3, 5, 1, 3, 9, 8, 4, 4, 2, 5, 3, 2, 2, 3, 4, 1, 5, 7, 6, 2, 3, 3, 6, 1, 0, 6, 4, 2, 5, 0, 6, 3, 9, 0, 4, 9, 7, 5, 0, 0, 8, 6, 5, 6, 2, 7, 1, 0, 9, 5, 3, 5, 9, 1, 9, 4, 6, 5, 8, 9, 7, 5, 1, 4, 1, 3, 1, 0, 3, 4, 8, 2, 2, 7, 6, 9, 3, 0, 6, 2, 4, 7, 4, 3, 5, 3, 6, 3, 2, 5, 6, 9, 1, 6, 0, 7, 8, 1, 5, 4, 7, 8, 1, 8, 1, 1, 5, 2, 8, 4, 3, 6, 6, 7, 9, 5, 7, 0, 6, 1, 1, 0, 8, 6, 1, 5, 3, 3, 1, 5, 0, 4, 4, 5, 2, 1, 2, 7, 4, 7, 3, 9, 2, 4, 5, 4, 4, 9, 4, 5, 4, 2, 3, 6, 8, 2, 8, 8, 6, 0, 6, 1, 3, 4, 0, 8, 4, 1, 4, 8, 6, 3, 7, 7, 6, 7, 0, 0, 9, 6, 1, 2, 0, 7, 1, 5, 1, 2, 4, 9, 1, 4, 0, 4, 3, 0, 2, 7, 2, 5, 3, 8, 6, 0, 7, 6, 4, 8, 2, 3, 6, 3, 4, 1, 4, 3, 3, 4, 6, 2, 3, 5, 1, 8, 9, 7, 5, 7, 6, 6, 4, 5, 2, 1, 6, 4, 1, 3, 7, 6, 7, 9, 6, 9, 0, 3, 1, 4, 9, 5, 0, 1, 9, 1, 0, 8, 5, 7, 5, 9, 8, 4, 4, 2, 3, 9, 1, 9, 8, 6, 2, 9, 1, 6, 4, 2, 1, 9, 3, 9, 9, 4, 9, 0, 7, 2, 3, 6, 2, 3, 4, 6, 4, 6, 8, 4, 4, 1, 1, 7, 3, 9, 4, 0, 3, 2, 6, 5, 9, 1, 8, 4, 0, 4, 4, 3, 7, 8, 0, 5, 1, 3, 3, 3, 8, 9, 4, 5, 2, 5, 7, 4, 2, 3, 9, 9, 5, 0, 8, 2, 9, 6, 5, 9, 1, 2, 2, 8, 5, 0, 8, 5, 5, 5, 8, 2, 1, 5, 7, 2, 5, 0, 3, 1, 0, 7, 1, 2, 5, 7, 0, 1, 2, 6, 6, 8, 3, 0, 2, 4, 0, 2, 9, 2, 9, 5, 2, 5, 2, 2, 0, 1, 1, 8, 7, 2, 6, 7, 6, 7, 5, 6, 2, 2, 0, 4, 1, 5, 4, 2, 0, 5, 1, 6, 1, 8, 4, 1, 6, 3, 4, 8, 4, 7, 5, 6, 5, 1, 6, 9, 9, 9, 8, 1, 1, 6, 1, 4, 1, 0, 1, 0, 0, 2, 9, 9, 6, 0, 7, 8, 3, 8, 6, 9, 0, 9, 2, 9, 1, 6, 0, 3, 0, 2, 8, 8, 4, 0, 0, 2, 6, 9, 1, 0, 4, 1, 4, 0, 7, 9, 2, 8, 8, 6, 2, 1, 5, 0, 7, 8, 4, 2, 4, 5, 1, 6, 7, 0, 9, 0, 8, 7, 0, 0, 0, 6, 9, 9, 2, 8, 2, 1, 2, 0, 6, 6, 0, 4, 1, 8, 3, 7, 1, 8, 0, 6, 5, 3, 5, 5, 6, 7, 2, 5, 2, 5, 3, 2, 5, 6, 7, 5, 3, 2, 8, 6, 1, 2, 9, 1, 0, 4, 2, 4, 8, 7, 7, 6, 1, 8, 2, 5, 8, 2, 9, 7, 6, 5, 1, 5, 7, 9, 5, 9, 8, 4, 7, 0, 3, 5, 6, 2, 2, 2, 6, 2, 9, 3, 4, 8, 6, 0, 0, 3, 4, 1, 5, 8, 7, 2, 2, 9, 8, 0, 5, 3, 4, 9, 8, 9, 6, 5, 0, 2, 2, 6, 2, 9, 1, 7, 4, 8, 7, 8, 8, 2, 0, 2, 7, 3, 4, 2, 0, 9, 2, 2, 2, 2, 4, 5, 3, 3, 9, 8, 5, 6, 2, 6, 4, 7, 6, 6, 9, 1, 4, 9, 0, 5, 5, 6, 2, 8, 4, 2, 5, 0, 3, 9, 1, 2, 7, 5, 7, 7, 1, 0, 2, 8, 4, 0, 2, 7, 9, 9, 8, 0, 6, 6, 3, 6, 5, 8, 2, 5, 4, 8, 8, 9, 2, 6, 4, 8, 8, 0, 2, 5, 4, 5, 6, 6, 1, 0, 1, 7, 2, 9, 6, 7, 0, 2, 6, 6, 4, 0, 7, 6, 5, 5, 9, 0, 4, 2, 9, 0, 9, 9, 4, 5, 6, 8, 1, 5, 0, 6, 5, 2, 6, 5, 3, 0, 5, 3, 7, 1, 8, 2, 9, 4, 1, 2, 7, 0, 3, 3, 6, 9, 3, 1, 3, 7, 8, 5, 1, 7, 8, 6, 0, 9, 0, 4, 0, 7, 0, 8, 6, 6, 7, 1, 1, 4, 9, 6, 5, 5, 8, 3, 4, 3, 4, 3, 4, 7, 6, 9, 3, 3, 8, 5, 7, 8, 1, 7, 1, 1, 3, 8, 6, 4, 5, 5, 8, 7, 3, 6, 7, 8, 1, 2, 3, 0, 1, 4, 5, 8, 7, 6, 8, 7, 1, 2, 6, 6, 0, 3, 4, 8, 9, 1, 3, 9, 0, 9, 5, 6, 2, 0, 0, 9, 9, 3, 9, 3, 6, 1, 0, 3, 1, 0, 2, 9, 1, 6, 1, 6, 1, 5, 2, 8, 8, 1, 3, 8, 4, 3, 7, 9, 0, 9, 9, 0, 4, 2, 3, 1, 7, 4, 7, 3, 3, 6, 3, 9, 4, 8, 0, 4, 5, 7, 5, 9, 3, 1, 4, 9, 3, 1, 4, 0, 5, 2, 9, 7, 6, 3, 4, 7, 5, 7, 4, 8, 1, 1, 9, 3, 5, 6, 7, 0, 9, 1, 1, 0, 1, 3, 7, 7, 5, 1, 7, 2, 1, 0, 0, 8, 0, 3, 1, 5, 5, 9, 0, 2, 4, 8, 5, 3, 0, 9, 0, 6, 6, 9, 2, 0, 3, 7, 6, 7, 1, 9, 2, 2, 0, 3, 3, 2, 2, 9, 0, 9, 4, 3, 3, 4, 6, 7, 6, 8, 5, 1, 4, 2, 2, 1, 4, 4, 7, 7, 3, 7, 9, 3, 9, 3, 7, 5, 1, 7, 0, 3, 4, 4, 3, 6, 6, 1, 9, 9, 1, 0, 4, 0, 3, 3, 7, 5, 1, 1, 1, 7, 3, 5, 4, 7, 1, 9, 1, 8, 5, 5, 0, 4, 6, 4, 4, 9, 0, 2, 6, 3, 6, 5, 5, 1, 2, 8, 1, 6, 2, 2, 8, 8, 2, 4, 4, 6, 2, 5, 7, 5, 9, 1, 6, 3, 3, 3, 0, 3, 9, 1, 0, 7, 2, 2, 5, 3, 8, 3, 7, 4, 2, 1, 8, 2, 1, 4, 0, 8, 8, 3, 5, 0, 8, 6, 5, 7, 3, 9, 1, 7, 7, 1, 5, 0, 9, 6, 8, 2, 8, 8, 7, 4, 7, 8, 2, 6, 5, 6, 9, 9, 5, 9, 9, 5, 7, 4, 4, 9, 0, 6, 6, 1, 7, 5, 8, 3, 4, 4, 1, 3, 7, 5, 2, 2, 3, 9, 7, 0, 9, 6, 8, 3, 4, 0, 8, 0, 0, 5, 3, 5, 5, 9, 8, 4, 9, 1, 7, 5, 4, 1, 7, 3, 8, 1, 8, 8, 3, 9, 9, 9, 4, 4, 6, 9, 7, 4, 8, 6, 7, 6, 2, 6, 5, 5, 1, 6, 5, 8, 2, 7, 6, 5, 8, 4, 8, 3, 5, 8, 8, 4, 5, 3, 1, 4, 2, 7, 7, 5, 6, 8, 7, 9, 0, 0, 2, 9, 0, 9, 5, 1, 7, 0, 2, 8, 3, 5, 2, 9, 7, 1, 6, 3, 4, 4, 5, 6, 2, 1, 2, 9, 6, 4, 0, 4, 3, 5, 2, 3, 1, 1, 7, 6, 0, 0, 6, 6, 5, 1, 0, 1, 2, 4, 1, 2, 0, 0, 6, 5, 9, 7, 5, 5, 8, 5, 1, 2, 7, 6, 1, 7, 8, 5, 8, 3, 8, 2, 9, 2, 0, 4, 1, 9, 7, 4, 8, 4, 4, 2, 3, 6, 0, 8, 0, 0, 7, 1, 9, 3, 0, 4, 5, 7, 6, 1, 8, 9, 3, 2, 3, 4, 9, 2, 2, 9, 2, 7, 9, 6, 5, 0, 1, 9, 8, 7, 5, 1, 8, 7, 2, 1, 2, 7, 2, 6, 7, 5, 0, 7, 9, 8, 1, 2, 5, 5, 4, 7, 0, 9, 5, 8, 9, 0, 4, 5, 5, 6, 3, 5, 7, 9, 2, 1, 2, 2, 1, 0, 3, 3, 3, 4, 6, 6, 9, 7, 4, 9, 9, 2, 3, 5, 6, 3, 0, 2, 5, 4, 9, 4, 7, 8, 0, 2, 4, 9, 0, 1, 1, 4, 1, 9, 5, 2, 1, 2, 3, 8, 2, 8, 1, 5, 3, 0, 9, 1, 1, 4, 0, 7, 9, 0, 7, 3, 8, 6, 0, 2, 5, 1, 5, 2, 2, 7, 4, 2, 9, 9, 5, 8, 1, 8, 0, 7, 2, 4, 7, 1, 6, 2, 5, 9, 1, 6, 6, 8, 5, 4, 5, 1, 3, 3, 3, 1, 2, 3, 9, 4, 8, 0, 4, 9, 4, 7, 0, 7, 9, 1, 1, 9, 1, 5, 3, 2, 6, 7, 3, 4, 3, 0, 2, 8, 2, 4, 4, 1, 8, 6, 0, 4, 1, 4, 2, 6, 3, 6, 3, 9, 5, 4, 8, 0, 0, 0, 4, 4, 8, 0, 0, 2, 6, 7, 0, 4, 9, 6, 2, 4, 8, 2, 0, 1, 7, 9, 2, 8, 9, 6, 4, 7, 6, 6, 9, 7, 5, 8, 3, 1, 8, 3, 2, 7, 1, 3, 1, 4, 2, 5, 1, 7, 0, 2, 9, 6, 9, 2, 3, 4, 8, 8, 9, 6, 2, 7, 6, 6, 8, 4, 4, 0, 3, 2, 3, 2, 6, 0, 9, 2, 7, 5, 2, 4, 9, 6, 0, 3, 5, 7, 9, 9, 6, 4, 6, 9, 2, 5, 6, 5, 0, 4, 9, 3, 6, 8, 1, 8, 3, 6, 0, 9, 0, 0, 3, 2, 3, 8, 0, 9, 2, 9, 3, 4, 5, 9, 5, 8, 8, 9, 7, 0, 6, 9, 5, 3, 6, 5, 3, 4, 9, 4, 0, 6, 0, 3, 4, 0, 2, 1, 6, 6, 5, 4, 4, 3, 7, 5, 5, 8, 9, 0, 0, 4, 5, 6, 3, 2, 8, 8, 2, 2, 5, 0, 5, 4, 5, 2, 5, 5, 6, 4, 0, 5, 6, 4, 4, 8, 2, 4, 6, 5, 1, 5, 1, 8, 7, 5, 4, 7, 1, 1, 9, 6, 2, 1, 8, 4, 4, 3, 9, 6, 5, 8, 2, 5, 3, 3, 7, 5, 4, 3, 8, 8, 5, 6, 9, 0, 9, 4, 1, 1, 3, 0, 3, 1, 5, 0, 9, 5, 2, 6, 1, 7, 9, 3, 7, 8, 0, 0, 2, 9, 7, 4, 1, 2, 0, 7, 6, 6, 5, 1, 4, 7, 9, 3, 9, 4, 2, 5, 9, 0, 2, 9, 8, 9, 6, 9, 5, 9, 4, 6, 9, 9, 5, 5, 6, 5, 7, 6, 1, 2, 1, 8, 6, 5, 6, 1, 9, 6, 7, 3, 3, 7, 8, 6, 2, 3, 6, 2, 5, 6, 1, 2, 5, 2, 1, 6, 3, 2, 0, 8, 6, 2, 8, 6, 9, 2, 2, 2, 1, 0, 3, 2, 7, 4, 8, 8, 9, 2, 1, 8, 6, 5, 4, 3, 6, 4, 8, 0, 2, 2, 9, 6, 7, 8, 0, 7, 0, 5, 7, 6, 5, 6, 1, 5, 1, 4, 4, 6, 3, 2, 0, 4, 6, 9, 2, 7, 9, 0, 6, 8, 2, 1, 2, 0, 7, 3, 8, 8, 3, 7, 7, 8, 1, 4, 2, 3, 3, 5, 6, 2, 8, 2, 3, 6, 0, 8, 9, 6, 3, 2, 0, 8, 0, 6, 8, 2, 2, 2, 4, 6, 8, 0, 1, 2, 2, 4, 8, 2, 6, 1, 1, 7, 7, 1, 8, 5, 8, 9, 6, 3, 8, 1, 4, 0, 9, 1, 8, 3, 9, 0, 3, 6, 7, 3, 6, 7, 2, 2, 2, 0, 8, 8, 8, 3, 2, 1, 5, 1, 3, 7, 5, 5, 6, 0, 0, 3, 7, 2, 7, 9, 8, 3, 9, 4, 0, 0, 4, 1, 5, 2, 9, 7, 0, 0, 2, 8, 7, 8, 3, 0, 7, 6, 6, 7, 0, 9, 4, 4, 4, 7, 4, 5, 6, 0, 1, 3, 4, 5, 5, 6, 4, 1, 7, 2, 5, 4, 3, 7, 0, 9, 0, 6, 9, 7, 9, 3, 9, 6, 1, 2, 2, 5, 7, 1, 4, 2, 9, 8, 9, 4, 6, 7, 1, 5, 4, 3, 5, 7, 8, 4, 6, 8, 7, 8, 8, 6, 1, 4, 4, 4, 5, 8, 1, 2, 3, 1, 4, 5, 9, 3, 5, 7, 1, 9, 8, 4, 9, 2, 2, 5, 2, 8, 4, 7, 1, 6, 0, 5, 0, 4, 9, 2, 2, 1, 2, 4, 2, 4, 7, 0, 1, 4, 1, 2, 1, 4, 7, 8, 0, 5, 7, 3, 4, 5, 5, 1, 0, 5, 0, 0, 8, 0, 1, 9, 0, 8, 6, 9, 9, 6, 0, 3, 3, 0, 2, 7, 6, 3, 4, 7, 8, 7, 0, 8, 1, 0, 8, 1, 7, 5, 4, 5, 0, 1, 1, 9, 3, 0, 7, 1, 4, 1, 2, 2, 3, 3, 9, 0, 8, 6, 6, 3, 9, 3, 8, 3, 3, 9, 5, 2, 9, 4, 2, 5, 7, 8, 6, 9, 0, 5, 0, 7, 6, 4, 3, 1, 0, 0, 6, 3, 8, 3, 5, 1, 9, 8, 3, 4, 3, 8, 9, 3, 4, 1, 5, 9, 6, 1, 3, 1, 8, 5, 4, 3, 4, 7, 5, 4, 6, 4, 9, 5, 5, 6, 9, 7, 8, 1, 0, 3, 8, 2, 9, 3, 0, 9, 7, 1, 6, 4, 6, 5, 1, 4, 3, 8, 4, 0, 7, 0, 0, 7, 0, 7, 3, 6, 0, 4, 1, 1, 2, 3, 7, 3, 5, 9, 9, 8, 4, 3, 4, 5, 2, 2, 5, 1, 6, 1, 0, 5, 0, 7, 0, 2, 7, 0, 5, 6, 2, 3, 5, 2, 6, 6, 0, 1, 2, 7, 6, 4, 8, 4, 8, 3, 0, 8, 4, 0, 7, 6, 1, 1, 8, 3, 0, 1, 3, 0, 5, 2, 7, 9, 3, 2, 0, 5, 4, 2, 7, 4, 6, 2, 8, 6, 5, 4, 0, 3, 6, 0, 3, 6, 7, 4, 5, 3, 2, 8, 6, 5, 1, 0, 5, 7, 0, 6, 5, 8, 7, 4, 8, 8, 2, 2, 5, 6, 9, 8, 1, 5, 7, 9, 3, 6, 7, 8, 9, 7, 6, 6, 9, 7, 4, 2, 2, 0, 5, 7, 5, 0, 5, 9, 6, 8, 3, 4, 4, 0, 8, 6, 9, 7, 3, 5, 0, 2, 0, 1, 4, 1, 0, 2, 0, 6, 7, 2, 3, 5, 8, 5, 0, 2, 0, 0, 7, 2, 4, 5, 2, 2, 5, 6, 3, 2, 6, 5, 1, 3, 4, 1, 0, 5, 5, 9, 2, 4, 0, 1, 9, 0, 2, 7, 4, 2, 1, 6, 2, 4, 8, 4, 3, 9, 1, 4, 0, 3, 5, 9, 9, 8, 9, 5, 3, 5, 3, 9, 4, 5, 9, 0, 9, 4, 4, 0, 7, 0, 4, 6, 9, 1, 2, 0, 9, 1, 4, 0, 9, 3, 8, 7, 0, 0, 1, 2, 6, 4, 5, 6, 0, 0, 1, 6, 2, 3, 7, 4, 2, 8, 8, 0, 2, 1, 0, 9, 2, 7, 6, 4, 5, 7, 9, 3, 1, 0, 6, 5, 7, 9, 2, 2, 9, 5, 5, 2, 4, 9, 8, 8, 7, 2, 7, 5, 8, 4, 6, 1, 0, 1, 2, 6, 4, 8, 3, 6, 9, 9, 9, 8, 9, 2, 2, 5, 6, 9, 5, 9, 6, 8, 8, 1, 5, 9, 2, 0, 5, 6, 0, 0, 1, 0, 1, 6, 5, 5, 2, 5, 6, 3, 7, 5, 6, 7, 8
};
Random64 r = new Random64(new Random(DateTime.Now.Millisecond));
ulong seed = r.Next(UInt64.MinValue, UInt64.MaxValue);
ulong num = 0;
num += seed;
int frekvens = 0;
// ändrar längden under undersöknignen.
ulong längd = 10;
for (ulong i = UInt64.MinValue; i < längd + 1; i++)
{
num += Pi_L[frekvens];
t1.Add((ulong)num % 10);
frekvens += 1;
if (frekvens == 10000)
{
frekvens = 0;
}
}
// Observera att resultatet kommer att variera beroende på seed.
foreach (ulong item in t1)
{
Console.WriteLine(item);
}
// tar fram ett tal mellan 0 till U-long max (18446744073709551615)
Console.WriteLine("\nSeeden är följande: " + seed);
Console.WriteLine("ulong maxvalue: " + UInt64.MaxValue);
int total = t1.Sum(x => Convert.ToInt32(x));
// medelvärde beräkna med total / t1.Count;
Console.WriteLine("\nMedelvärde ska gå emot: 4.5");
Console.WriteLine("Genomsnittligt antal per värde " + längd / 10);
// Avikelse max: Maxantalet gånger samma tal uppkommer/(list.Count/10).
//Stereotyp värde för Avvikelse max är 1(0 %).
// Avikelse min: Minantalet gånger samma tal uppkommer/(list.Count/10).
//Stereotyp värde för Avvikelse min är 1(0 %).
// Genomsnittlig avikelse: (Avikelse min + Avikelse min) / 2.
//Stereotyp värde för Genomsnittlig avvikelse är 1(0 %).
// Genomsnittlig värde: List.Sum/List.Count.
//Stereotyp värde för Genomsnittligt värde är 4.5
// Genomsnittlig felmarginal: Absolutbelopp av Genomsnittligt värde - stereotyp värdet för det genomsnittliga värdet (4.5).
//Stereotyp värde för Genomsnittligt värde = 0.
}
